Chain homotopy maps and a universal differential for Khovanov-type homology

Abstract

We give chain homotopy maps of Khovanov-type link homology of a universal differential. The universal differential, discussed by Mikhail Khovanov, Marco Mackaay, Paul Turner and Pedro Vaz, contains the original Khovanov's differential and Lee's differential. We also consider the conditions of any differential ensuring the Reidemeister invariance for the chain homotopy maps.

10 pages, second version: Revised calculations mainly concerned with outside Reidemeister moves

References in corpus (2)

• Five Lectures on Khovanov Homology
• On Reidemeister invariance of the Khovanov homology group of the Jones polynomial

Cited by in corpus (1)

• Some chain maps on Khovanov complexes and Reidemeister moves